Parallel regularized Newton method for nonlinear ill-posed equations

被引：4

作者：

Pham Ky Anh ^{[1
]}

Cao Van Chung ^{[1
]}

机构：

[1] Vietnam Natl Univ, Dept Math, Hanoi, Vietnam

来源：

NUMERICAL ALGORITHMS | 2011年 / 58卷 / 03期

关键词：

Monotone operator; Regularized Newton method; Parallel splitting-up technique; KACZMARZ METHODS; SYSTEMS;

D O I：

10.1007/s11075-011-9460-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce a regularized Newton method coupled with the parallel splitting-up technique for solving nonlinear ill-posed equations with smooth monotone operators. We analyze the convergence of the proposed method and carry out numerical experiments for nonlinear integral equations.

引用

页码：379 / 398

页数：20

共 50 条

[1] Parallel regularized Newton method for nonlinear ill-posed equations
Pham Ky Anh
Cao Van Chung
Numerical Algorithms, 2011, 58 : 379 - 398
[2] Parallel iteratively regularized Gauss-Newton method for systems of nonlinear ill-posed equations
Pham Ky Anh
Vu Tien Dzung
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2013, 90 (11) : 2452 - 2461
[3] A Modification of Regularized Newton-Type Method for Nonlinear Ill-Posed Problems
Meng, Ze-hong
Zhao, Zhen-yu
He, Guo-qiang
HIGH PERFORMANCE COMPUTING AND APPLICATIONS, 2010, 5938 : 295 - +
[4] On convergence of regularized modified Newton's method for nonlinear ill-posed problems
George, Santhosh
JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 2010, 18 (02): : 133 - 146
[5] An iteratively regularized Gauss–Newton–Halley method for solving nonlinear ill-posed problems
Barbara Kaltenbacher
Numerische Mathematik, 2015, 131 : 33 - 57
[6] On the iteratively regularized Gauss-Newton method for solving nonlinear ill-posed problems
Jin, QN
MATHEMATICS OF COMPUTATION, 2000, 69 (232) : 1603 - 1623
[7] An iteratively regularized Gauss-Newton-Halley method for solving nonlinear ill-posed problems
Kaltenbacher, Barbara
NUMERISCHE MATHEMATIK, 2015, 131 (01) : 33 - 57
[8] A Regularized Variational Inequality Approach for Nonlinear Monotone Ill-Posed Equations
Robert Plato
Bernd Hofmann
Journal of Optimization Theory and Applications, 2019, 182 : 525 - 539
[9] A Regularized Variational Inequality Approach for Nonlinear Monotone Ill-Posed Equations
Plato, Robert
Hofmann, Bernd
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2019, 182 (02) : 525 - 539
[10] A generalization of continuous regularized Gauss-Newton method for ill-posed problems
Nair, M. Thamban
Ravishankar, P.
JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 2011, 19 (03): : 473 - 510

← 1 2 3 4 5 →